Chapter

Kinetically constrained models

Juan P. Garrahan, Peter Sollich and Cristina Toninelli

in Dynamical Heterogeneities in Glasses, Colloids, and Granular Media

Published in print July 2011 | ISBN: 9780199691470
Published online September 2011 | e-ISBN: 9780191729799 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691470.003.0010

Series: International Series of Monographs on Physics

Kinetically constrained models

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This chapter summarizes recent developments in the study of kinetically constrained models (KCMs) as models for glass formers. After recalling the definition of the KCMs which are covered in this chapter, the chapter studies the possible occurrence of ergodicity breaking transitions and discuss in some detail how, before any such transition occurs, relaxation timescales depend on the relevant control parameter (density or temperature). Then the chapter turns to the main issue: the prediction of KCMs for dynamical heterogeneities. The chapter focuses in particular on multipoint correlation functions and susceptibilities, and decoupling in the transport coefficients. Finally the chapter discusses the recent view of KCMs as being at first order coexistence between an active and an inactive space‐time phase.

Keywords: glass transition; dynamical heterogeneity; kinetically constrained model; space‐time phases

Chapter.  15463 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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